Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing? (1 point) Responses 6.4 square inches 6.4 square inches 3.2 square inches 3.2 square inches 20 square inches 20 square inches 1.6 square inches
To find the scale factor, we divide the actual height of the triangle by the height of the scale drawing:
5 inches / 2 inches = 2.5
Now we can use the scale factor to find the base of the scale drawing:
8 inches / 2.5 = 3.2 inches
Now we can use the base and height of the scale drawing to find the area:
Area = (base * height) / 2
Area = (3.2 inches * 2 inches) / 2
Area = 6.4 square inches
Therefore, the area of Crystal's scale drawing is 6.4 square inches.